Modified Inverse Source Coding for Diffusion Based Molecular Communication System

Abstract

In this paper we prove that Inter-Symbol Interference (ISI) and Bit Error Rate (BER) of a Diffusion Based Molecular Communication (DBMC) system depend on the apriori probability of the transmitted data by deriving lower and upper bounds for the number of received molecules. We also compute the optimal value of a-priori probability for which ISI and BER are minimized. A source coding technique, called Modified Inverse Source Coding (MISC), is proposed that allows to control the a-priori probability of the transmitted data. The results show that the MISC-DBMC system not only provides a better BER performance compared to an uncoded one but also improves the range of communication.Index Terms-Diffusive channel, molecular communication, inverse source coding, inter-symbol interference, bit error rate.

Coding in Diffusion-Based Molecular Nanonetworks: A Comprehensive Survey

“…We briefly sketch the main historical development steps of source coding for diffusion-based molecular communications here, and conduct a detailed survey of these source coding approaches in Section III. In 2020, Dhayabaran et al in [98] first published a source coding technique called Modified Inverse Source Coding (MISC). This technique allows the control of the a priori probability of the transmitted data.…”

“…Source coding for MC is fundamentally different from source coding for EM communication in that source coding for MC strives to reduce the occurrence of errors during propagation on the channel by reducing the code word weight, i.e., the number of bit-1s to be transmitted, at the expense of potentially increasing the average code word length. For example, the MISC source coding approach for MC controls the percentage of 0s and 1s in the transmitted data [98]. In contrast, source coding for EM communication focuses on the removal of redundancy, i.e., the shortening of the code words.…”

“…Specifically, conventional source coding methods assign shorter code words to more probable information symbols and longer code words to less probable information symbols. In contrast, MISC assigns code words with longer length and lower code word weight (i.e., fewer bit-1s) to more probable symbols [98].…”

“…MISC was originally introduced in [98] in 2020 for DBMC, and allows control of the a priori probability of the transmitted data. MISC was inspired by the Inverse Source Coding (ISC) technique, which was originally examined for controlling the dimming percentage in visible light communication [195].…”

“…The model in [98] follows a three-dimensional DBMC system consisting of a fully absorbing spherical receiver with a radius r r and a point transmitter at a distance of d, see Fig. 3.…”